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Finding the Third Proportional to 133,689 and 208,735

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Solution

The third proportional to 133,689 and 208,735 is: 325,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,689 : 208,735 = 208,735 : x
  2. Step 2: Convert to fraction form
    133,689/208,735 = 208,735/x
  3. Step 3: Cross multiply
    133,689x = 208,735 × 208,735
  4. Step 4: Simplify right side
    133,689x = 43,570,300,225
  5. Step 5: Solve for x
    x = 43,570,300,225/133,689
  6. Step 6: Final answer
    x = 325,907.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.